 | Euclid - 1835 - 540 σελίδες
...are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines cannot enclose a space. XI. All right... | |
 | 1836 - 488 σελίδες
...are equal to one another. 7. Things which are halves of the same thing, are equal to one another. 8. Magnitudes which coincide with one another, that is,...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. " Two straight lines which intersect one another, cannot... | |
 | Andrew Bell - 1837 - 290 σελίδες
...same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Magnitudes which, coincide with one another — that...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. Two straight lines cannot he drawn through the same... | |
 | John Playfair - 1837 - 332 σελίδες
...are equal to one another. 7. Things which are halves of the same thing, are equal to one another. 8. Magnitudes which coincide with one another, that is,...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. " Two straight lines which intersect one another, cannot... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...9. The whole is greater than its part.§ 10. The whole is equal to all its parts taken together.!! 11. All right angles are equal to one another.^] 12. If a straight line meet two other straight lines which are in * These postulates require in substance that the simplest... | |
 | Euclides - 1838 - 264 σελίδες
...of the same, are equal to one another. VIII. Magnitudes which coincide, or which may be conceived to coincide with one another, that is, which exactly fill the same space, are equal to one another. This axiom, referring to the most obvious test of geometrical equality, is scarcely comprehensive enough.... | |
 | Thomas Cogswell Upham - 1839 - 476 σελίδες
...the same, are equal to one another ; Things, which are halves of the same, are equal to one another ; Magnitudes, which coincide with one another, (that...exactly fill the same space,) are equal to one another, &c. It will be admitted, (and we shall see it perhaps more clearly, when we again have occasion to... | |
 | Euclides - 1841 - 378 σελίδες
...are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines cannot enclose a space. XL All right... | |
 | Thomas Cogswell Upham - 1841 - 474 σελίδες
...the same are equal to one another ; Things which are halves of the same are equal to one another ; Magnitudes which coincide with one another (that is,...exactly fill the same space) are equal to one another, &c. It will be admitted (and we shall see it perhaps more clearly when we again have occasion to revert... | |
 | John Playfair - 1842 - 332 σελίδες
...are equal to one another. 7. Things which are halves of the same thing, are equal to one another. 8. Magnitudes which coincide with one another, that is,...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. "Two straight lines which intersect one another, cannot... | |
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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
